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Finding the Fourth Proportional to 2,495.60, 3,745.12 and 1,342.16

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Solution

The fourth proportional to 2,495.60, 3,745.12 and 1,342.16 is: 2,014.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.60 : 3,745.12 = 1,342.16 : x
  2. Step 2: Convert to fraction form
    2,495.60/3,745.12 = 1,342.16/x
  3. Step 3: Cross multiply
    2,495.60x = 3,745.12 × 1,342.16
  4. Step 4: Simplify right side
    2,495.60x = 5,026,550.26
  5. Step 5: Solve for x
    x = 5,026,550.26/2,495.60
  6. Step 6: Final answer
    x = 2,014.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.